h-net: hqc2214


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,3,6,4,4}
2D vertex symbol {3.5.5.3}{3.5.5}{5.5.5.5.5.5}{5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 8, 20, 40, 74, 140, 258, 462, 860, 1556), (3, 6, 15, 36, 61, 119, 225, 401, 737, 1351), (6, 18, 30, 60, 114, 204, 366, 696, 1230, 2310), (4, 16, 32, 56, 112, 192, 368, 648, 1224, 2168), (4, 10, 24, 48, 88, 170, 300, 562, 1000, 1882)]
Delaney-Dress Symbol <2214.2:13:1 3 5 7 9 11 13,2 3 6 13 8 10 12,1 4 5 6 7 8 9 10 11 12 13:3 5,4 3 6 4 4>
Dual net hqc2138

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc14317 Pm-3m 221 cubic {4,3,6,4,4} 80 (5,6)
Full image sqc14318 I4132 214 cubic {4,3,6,4,4} 80 (5,7)
Full image sqc12922 P4232 208 cubic {3,4,4,4,6} 40 (5,6)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5553 *2223 (5,6,2) {4,3,6,4,4} {3.5.5.3}{3.5.5}{5.5.5.5.5.5}{5.... Snet sqc14317 Snet sqc14318 Snet sqc12922

Symmetry-lowered hyperbolic tilings